Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

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          <pb o="447" file="0467" n="467" rhead="LIBER VI."/>
          <figure number="321">
            <image file="0467-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0467-01"/>
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          <p>
            <s xml:id="echoid-s11500" xml:space="preserve">Sit ſpiralis ex prima reuolutione@@o, OP℟QX, primus circu-
              <lb/>
            lus, ΩkXF, cuius, radius, & </s>
            <s xml:id="echoid-s11501" xml:space="preserve">voluta ſit, OX, ſpiralis, ℟Q, minor
              <lb/>
            ea, quæ ſub prima reuolutione fit, nec habet terminum initium
              <lb/>
            ſpiralis, iunctis autem, OA, OQ, & </s>
            <s xml:id="echoid-s11502" xml:space="preserve">ijs vſque ad circumferentiam,
              <lb/>
            FΩΚΧ, productis, cui incidant in, Ω, F. </s>
            <s xml:id="echoid-s11503" xml:space="preserve">Dico trilineum, ℟OQ,
              <lb/>
            ad ſectorem, AOQ eſſe vt rectangulum, AO℟, cum {1/3}. </s>
            <s xml:id="echoid-s11504" xml:space="preserve">quadrati,
              <lb/>
            A℟, ad quadratum, AO. </s>
            <s xml:id="echoid-s11505" xml:space="preserve">Exponatur parallelogrammum rectan-
              <lb/>
            gulum, ED, cuius latus, CD, ſit æqualeipſi, OX, &</s>
            <s xml:id="echoid-s11506" xml:space="preserve">, BD, circum-
              <lb/>
            ferentiæ, FΩΚΧ, & </s>
            <s xml:id="echoid-s11507" xml:space="preserve">ſit iuncta, BC, &</s>
            <s xml:id="echoid-s11508" xml:space="preserve">, CT, ſit æqualis circumferẽ-
              <lb/>
            tiæ, XkΩ, TM, circumferentiæ, ΩF, &</s>
            <s xml:id="echoid-s11509" xml:space="preserve">, ME, circumferentiæ, FX,
              <lb/>
            & </s>
            <s xml:id="echoid-s11510" xml:space="preserve">per puncta, M, T, ducanturipſi, CD, parallelæ, MH, TN,
              <lb/>
            quarum, MH, ſecet, BC, in, I, & </s>
            <s xml:id="echoid-s11511" xml:space="preserve">per, I, ipſi, EC, parallela duca-
              <lb/>
            tur, IG, erit ergo, MC, æqualis circumferentiæ, XkΩF, & </s>
            <s xml:id="echoid-s11512" xml:space="preserve">quia
              <lb/>
            circumferentia, ΧFΩκ, ad circumferentiã, FΩkX, eſt vt, XO, ad,
              <lb/>
              <note position="right" xlink:label="note-0467-01" xlink:href="note-0467-01a" xml:space="preserve">7. huius.
                <lb/>
              4. Sexti
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              Elem.</note>
            OQ, ideſt, EC, ad, CM, eſt vt, XO, ad, OQ, eſt autem, EC, ad,
              <lb/>
            CM, vt, EB, ad, MI, ergo, EB, ad, MI, erit vt, XO, ad, OQ, ſunt
              <lb/>
            autem ipſæ, XO, EB, æquales, ergo etiam æquales eruntiplæ, </s>
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